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Geometry and Analysis on Manifolds

Proceedings of the 21st International Taniguchi Symposium held at Katata, Japan, Aug. 23-29 and the Conference held at Kyoto, Aug. 31 - Sep. 2, 1987

  • Conference proceedings
  • © 1988

Overview

Editors:
  1. Toshikazu Sunada
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Part of the book series: Lecture Notes in Mathematics (LNM, volume 1339)

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Table of contents (17 papers)

  1. Front Matter

    Pages I-IX
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  2. L2harmonic forms on complete Riemannian manifolds

    • Michael T. Anderson
    Pages 1-19

  3. Ricci-flat Kähler metrics on affine algebraic manifolds

    • Shigetoshi Bano, Ryoichi Kobayashi
    Pages 20-31

  4. On the multiplicy of the eigenvalues of the Laplacian

    • Gérard Besson
    Pages 32-53

  5. Riemann surfaces of large genus and large λ1

    • Peter Buser, Marc Burger, Jozef Dodziuk
    Pages 54-63

  6. Cayley graphs and planar isospectral domains

    • Peter Buser
    Pages 64-77

  7. On the almost negatively curved 3-sphere

    • Peter Buser, Detlef Gromoll
    Pages 78-85

  8. Vanishing theorems for tensor powers of a positive vector bundle

    • Jean-Pierre Demailly
    Pages 86-105

  9. Decay of eigenfunctions on Riemannian manifolds

    • Harold Donnelly
    Pages 106-117

  10. Stability and negativity for tangent sheaves of minimal Kähler spaces

    • Ichiro Enoki
    Pages 118-126

  11. An obstruction class and a representation of holomorphic automorphisms

    • Akito Futaki, Toshiki Mabuchi
    Pages 127-141

  12. Tensorial ergodicity of geodesic flows

    • Masahiko Kanai
    Pages 142-157

  13. Harmonic functions with growth conditions on a manifold of asymptotically nonnegative curvature I

    • Atsushi Kasue
    Pages 158-181

  14. Density theorems for closed orbits

    • Atsushi Katsuda
    Pages 182-202

  15. L2-Index and resonances

    • Werner Müller
    Pages 203-211

  16. Approximation of Green's function in a region with many obstacles

    • Shin Ozawa
    Pages 212-225

  17. Lower bounds of the essential spectrum of the Laplace-Beltrami operator and its application to complex geometry

    • Ken-ichi Sugiyama
    Pages 226-247

  18. Fundamental groups and Laplacians

    • Toshikazu Sunada
    Pages 248-277

  19. Back Matter

    Pages 279-282
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Keywords

About this book

The Taniguchi Symposium on global analysis on manifolds focused mainly on the relationships between some geometric structures of manifolds and analysis, especially spectral analysis on noncompact manifolds. Included in the present volume are expanded versions of most of the invited lectures. In these original research articles, the reader will find up-to date accounts of the subject.

Bibliographic Information

  • Book Title: Geometry and Analysis on Manifolds

  • Book Subtitle: Proceedings of the 21st International Taniguchi Symposium held at Katata, Japan, Aug. 23-29 and the Conference held at Kyoto, Aug. 31 - Sep. 2, 1987

  • Editors: Toshikazu Sunada

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0083042

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1988

  • Softcover ISBN: 978-3-540-50113-8Published: 10 August 1988

  • eBook ISBN: 978-3-540-45930-9Published: 14 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: XII, 284

  • Topics: Differential Geometry, Analysis

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